About the content
Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations.MATH226x is an introduction to the mathematical theory of ordinary differential equations. This course follows a modern dynamical systems approach to the subject. In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.
MATH226 is essentially the edX equivalent of MA226, a one-semester course in ordinary differential equations taken by more than 500 students per year at Boston University. It is divided into three parts. MATH226.1 is the first of these three parts.
In MATH226.1, we will discuss biological and physical models that can be expressed as differential equations with one or two dependent variables. We will discuss geometric/qualitative and numerical techniques that apply to all differential equations. When possible, we will study some of the standard symbolic solution techniques such as separation of variables and the use of integrating factors. We will also study the theory of existence and uniqueness of solutions, the phase line and bifurcations for first-order autonomous systems, and the phase plane for two-dimensional autonomous systems. The techniques that we develop will be used to analyze models throughout the course.
For additional information on obtaining credit through the ACE Alternative Credit Project, please visit here.
- The mathematical theory of ordinary differential equations and its application to biological and physical systems
- How to analyze equations using qualitative, numerical, and symbolic techniques
- Modeling via differential equations
- Paul Blanchard
- Kyle Vigil
Boston University’s impact extends far beyond our campus in the heart of Boston. Our students, faculty, and alumni travel around the globe to study, teach, and become immersed in the communities in which they live. As one of the world’s leading research universities, Boston University is currently engaged in more than 340 separate research, service, and educational programs and projects. Today, BU is the fourth-largest private university in the country and a member of the American Association of Universities, a nonprofit association of 62 of North America’s leading research-intensive institutions.
With 17 schools and colleges BU offers our students more than 250 programs of study in science and engineering, social science and humanities, health science, the arts, and other professional disciplines. And after graduation? Our students take their place in a long line of alumni whose inclusive and engaged educational experience prepared them to help serve, shape, and improve the world.
Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with EdX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.